On the additivity of block designs

DOI10.1007/s10801-016-0707-5zbMath1440.05044OpenAlexW2515730627MaRDI QIDQ510071

Marco Pavone, Andrea Caggegi, Giovanni Falcone

Publication date: 16 February 2017

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10801-016-0707-5

zbMATH Keywords

Hadamard designsblock designsSteiner triple systemssymmetric block designs

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial aspects of finite geometries (05B25) Triple systems (05B07)

Related Items (12)

Permutations of zero-sumsets in a finite vector space ⋮ A quasidouble of the affine plane of order 4 and the solution of a problem on additive designs ⋮ Subset sums and block designs in a finite vector space ⋮ On the seven non-isomorphic solutions of the fifteen schoolgirl problem ⋮ Steiner loops of affine type ⋮ On the subset sum problem for finite fields ⋮ On the additivity of block designs ⋮ Binary Hamming codes and Boolean designs ⋮ Additivity of affine designs ⋮ ON THE EMBEDDING OF GROUPS AND DESIGNS IN A DIFFERENCE BLOCK DESIGN ⋮ Super-regular Steiner 2-designs ⋮ A new family of additive designs

Cites Work

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• On the additivity of block designs
• On the p-rank of the incidence matrix of a balanced or partially balanced incomplete block design and its applications to error correcting codes
• Über den \(p\)-Rang von Inzidenzmatrizen. (On the \(p\)-rank of incidence matrices)
• Ranks of incidence matrices of Steiner triple systems
• Symmetry codes over GF(3) and new five-designs
• Über die Existenz von Inzidenzstrukturen mit Regularitätsbedingungen
• Kirkman's Tetrahedron and the Fifteen Schoolgirl Problem
• Presentations of the Groups SL(2,m) And PSL(2,m)
• A Note on a Combinatorial Problem

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